2x^2-3x-54=0

Simple and best practice solution for 2x^2-3x-54=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x^2-3x-54=0 equation:


Simplifying
2x2 + -3x + -54 = 0

Reorder the terms:
-54 + -3x + 2x2 = 0

Solving
-54 + -3x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-4.5, 6}

See similar equations:

| 15-.75g=13-.50g | | 16=3x-2 | | -5=11+4j | | 12=60-6r | | 24x-(6+5x)=51 | | 4x-3-3x=12+2x | | 2+2p=-17 | | (x+15+10)*12=372 | | 33y-3=8 | | -56=7d | | 34h+6g+34r-46g+4h-45r=1453 | | 4n-3=105 | | 3(2t-1)+2t=6-t | | 13x=15x+14 | | -12m=-72 | | 4n^2-20n+25=0 | | Y=4x^2-12x+9 | | (10+15+x)*12=372 | | x^2+66=0 | | -3p=24 | | 14+2p=20+1.5p | | 3-3=-2 | | 5s=45 | | -8(5-4n)=-6-2n | | x+10+15*12=372 | | -7-2=10 | | 2-3=-2 | | 325=25t | | x+5=3x-1(.5) | | 420=5s | | 18f+278k=28912 | | 1-3=-2 |

Equations solver categories